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Sine Theta (sin θ) = opposite/hypotenuse = a/c

Cosine Theta (cos θ) = adjacent/hypotenuse = b/c

Tangent Theta (tan θ) = opposite/adjacent = a/b

Cotangent Theta (cot θ) = adjacent/opposite = b/a

Secant Theta (sec θ) = hypotenuse/adjacent = c/b

Cosecant Theta (csc θ) = hypotenuse/opposite = c/a

You may need to look on the link below for some sample calculations

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Q: Values of the 6 trigonometric functions?

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Vectors.

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You can use them to find the sides and angles of a right triangle... just like regular trigonometric functions

Yes.

yes.

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